Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Lorz Alexander"'
Autor:
Lorenzi Tommaso, Chisholm Rebecca H., Lorz Alexander, Larsen Annette K., de Almeida Luís Neves, Escargueil Alexandre, Clairambault Jean
Publikováno v:
ITM Web of Conferences, Vol 5, p 00009 (2015)
We formulate an individual-based model and an integro-differential model of phenotypic evolution, under cytotoxic drugs, in a cancer cell population structured by the expression levels of survival-potential and proliferation-potential. We apply these
Externí odkaz:
https://doaj.org/article/296830d10d4548808e95b75dd9ecca26
We study parameter identification problems in a structured population model without mutations. Given measurements of the total population size or critical points of the population, we aim to recover its growth rate, death rate or initial distribution
Externí odkaz:
http://arxiv.org/abs/1811.03434
We consider a system of two coupled integro-differential equations modelling populations of healthy and cancer cells under therapy. Both populations are structured by a phenotypic variable, representing their level of resistance to the treatment. We
Externí odkaz:
http://arxiv.org/abs/1612.04698
In this paper we study balanced growth path solutions of a Boltzmann mean field game model proposed by Lucas et al [13] to model knowledge growth in an economy. Agents can either increase their knowledge level by exchanging ideas in learning events o
Externí odkaz:
http://arxiv.org/abs/1602.01423
In this paper we analyze a Boltzmann type mean field game model for knowledge growth, which was proposed by Lucas and Moll. We discuss the underlying mathematical model, which consists of a coupled system of a Boltzmann type equation for the agent de
Externí odkaz:
http://arxiv.org/abs/1503.08419
Autor:
Lorz, Alexander, Perthame, Benoit
Phenotypically structured equations arise in population biology to describe the interaction of species with their environment that brings the nutrients. This interaction usually leads to selection of the fittest individuals. Models used in this area
Externí odkaz:
http://arxiv.org/abs/1402.0469
Autor:
Lorz, Alexander, Lorenzi, Tommaso, Clairambault, Jean, Escargueil, Alexandre, Perthame, Benoît
Histopathological evidence supports the idea that the emergence of phenotypic heterogeneity and resistance to cytotoxic drugs can be considered as a process of adaptation, or evolution, in tumor cell populations. In this framework, can we explain int
Externí odkaz:
http://arxiv.org/abs/1312.6237
Autor:
Lorz, Alexander, Lorenzi, Tommaso, Hochberg, Michael E., Clairambault, Jean, Perthame, Benoit
Resistance to chemotherapies, particularly to anticancer treatments, is an increasing medical concern. Among the many mechanisms at work in cancers, one of the most important is the selection of tumor cells expressing resistance genes or phenotypes.
Externí odkaz:
http://arxiv.org/abs/1207.0923
Publikováno v:
Communications in Partial Differential Equations, Taylor & Francis, 2011, 36, pp.1071-1098
Nonlocal Lotka-Volterra models have the property that solutions concentrate as Dirac masses in the limit of small diffusion. Is it possible to describe the dynamics of the limiting concentration points and of the weights of the Dirac masses? What is
Externí odkaz:
http://arxiv.org/abs/1011.1768